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Partnerships Test 451
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Partnerships Test 451
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  • Question 1/10
    1 / -0.25

    Akhil and Nikhil together start a business with investments of Rs. 8500 and Rs. 9200, respectively. After a year, Akhil increases his investment by 22% while Nikhil decreases his investment by 10%. After one more year, Nikhil increases his investment by 40% while Akhil decreases his investment by 25%. Find the difference between the total investment of Akhil and Nikhil in 3 years.

    Solutions

    Total investment of Akhil in 3 years

    = 8500 + 122% of 8500 + 75% of 122% of 8500

    = 8500 + 10370 + 7777.5 = Rs. 26647.5

    Total investment of Nikhil in 3 years

    = 9200 + 90% of 9200 + 140% of 90% of 9200

    = 9200 + 8280 + 11592 = Rs. 29072

    Thus, Required difference = 29072 – 26647.5 = Rs. 2424.5

  • Question 2/10
    1 / -0.25

    X, Y and Z start a business and invest Rs. 75000, Rs. 45000 and Rs. 35000 respectively. Z will get 7% of total profit extra for managing the business and remaining profit will be shared in their investment ratio. The share of profit of Z is Rs. 5148 less than the total profit share of X and Y. Then find the difference between profit shares of X and Y?
    Solutions

    Let the profit be 100x

    Extra profit to be given to Z for managing the business = 7x

    Remaining profit = 93x

    it is to be divided in the ratio of investments. (i.e. 15:9:7)

    X’s share =

    Y’s share =

    Z’s share =

    Z’s total share = 21x + 7x = 28x

    Now, (X+Y)’s share – Z’s share = 5148

    45x + 27x – 28x = 5148

    or x = 117

    Hence, difference between profit shares of X and Y = 45x – 27x =18x =18*117 = 2106

  • Question 3/10
    1 / -0.25

    A and B started a business with a capital of Rs. 48,000 and Rs. 90,000 and decided to share their profit according to their capital. But C join the business on a condition that they will share the profit equally & for that C gives Rs. 2,20,000 to A & B. Then find in what ratio A & B will distribute that amount?
    Solutions

  • Question 4/10
    1 / -0.25

    Three partners A, B and C share their profit or loss in the ratio of 3:4:7. If before applying 30% tax, the profit of the first year is Rs. 1,10,166, then find the profit of B after applying 30% tax.
    Solutions

    Let total profit be




    Profit of B after applying 30% tax

  • Question 5/10
    1 / -0.25

    Raj and Ravi enter into a business with an initial capital of Rs. 7200 and Rs. 8400 respectively. At the end of 4 months Raj increases his capital by 20% and Ravi reduces his capital by 20%. Riya enters in the same business at the end of 6 months with an initial capital of Rs. 10800. Then what is the profit share of Ravi (in Rs.) out of the total annual profit of Rs. 106805?
    Solutions

    Capital investment of Raj = (7200 x 4) + (7200 x) = Rs. 97920

    Capital investment of Ravi = (8400 x 4) + (8400 x) = Rs. 87360

    Capital investment of Riya = (10800 x 6) = Rs. 64800

    Ratio of investments of Raj, Ravi and Riya = 97920: 87360: 64800

    Ratio of investments of Raj, Ravi and Riya = 204: 182: 135

    Total profit = Rs. 106805

    Profit share of Ravi =  Rs. 37310

  • Question 6/10
    1 / -0.25

    Manoj, Reema and Sara entered into a partnership with investment in the ratio 4: 7: 5. After one year, Doli joined them with investment equal to initial investment of Reema. After further one more year, Sara left the business and Manoj doubled his investment. At the end of three years, they earned a total profit of Rs. 152500. Find the share of Doli in the profit.

    Solutions

    Let the investment amount of Manoj, Reema and Sara be Rs. 4p, Rs. 7p and Rs. 5p respectively.

    Ratio of share in the profit:

    Manoj: Reema: Sara: Doli = (4p x 2 + 8p): (7p x 3): (5p x 2): (7p x 2)

    = 16p: 21p: 10p: 14p

    =16: 21: 10: 14

    Share of Doli in the profit =

  • Question 7/10
    1 / -0.25

    A, B and C together start a business. Twice the capital of A is equal to thrice the capital of B and B’s capital is four times C’s capital. What will be B’s share if the profit earned is Rs 2,97,000?
    Solutions

    Given that, B = 4C

    and 2A = 3B

    A = 3B/2 

    C = B/4

    So,A  : B : C = 3B/2 : B : B/4

    = 3/2 : 1 : 1/4

    =

    = 6 : 4 : 1

     Share of B = (4/11)×297000 = Rs.1,08,000 

  • Question 8/10
    1 / -0.25

    Rs 111000 is invested in a business by A, B and C such that 25% of A's share = 20% of B's share = 30% of C's share. What is the share (in Rs) of C?
    Solutions

    25% of A’s share = 20% of B’s share

    or A : B = 4 : 5

    20% of B’s share = 30% of C’s share

    B : C = 3 : 2

    A : B : C = 12 : 15 : 10


  • Question 9/10
    1 / -0.25

    Profit of Rs 44,200 has to be divided between three partners P, Q and R in the ratio 4:5:8. How much (in Rs) does Q get?
    Solutions

    Given,
    P : Q : R = 4 : 5 : 8
    Sum of Ratios = 4 + 5 + 8 = 17
    Share of Q = 5
    Total Amount = 44200
    Share of Q =

  • Question 10/10
    1 / -0.25

    A, B and C enter into a partnership with shares in the ratio 7/2 : 4/3 : 6/5. After 4 months, A increases his Share by 50%. If the total profit at the end of the year was Rs. 45900, then the B’s share in the profit will be:
    Solutions

    Ratio of investments of A, B and C

    = )+

    = 56 : 16 : 14.4 respectively

    B’s share =

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